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Finding the Fourth Proportional to 7,814.26, 10,783.72 and 4,829.42

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Solution

The fourth proportional to 7,814.26, 10,783.72 and 4,829.42 is: 6,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.26 : 10,783.72 = 4,829.42 : x
  2. Step 2: Convert to fraction form
    7,814.26/10,783.72 = 4,829.42/x
  3. Step 3: Cross multiply
    7,814.26x = 10,783.72 × 4,829.42
  4. Step 4: Simplify right side
    7,814.26x = 52,079,113.04
  5. Step 5: Solve for x
    x = 52,079,113.04/7,814.26
  6. Step 6: Final answer
    x = 6,664.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.